About this ebook
Ordered sets are ubiquitous in mathematics and have significant applications in computer science, statistics, biology and the social sciences. As the first book to deal exclusively with finite ordered sets, this book will be welcomed by graduate students and researchers in all of these areas. Beginning with definitions of key concepts and fundamental results (Dilworth's and Sperner's theorem, interval and semiorders, Galois connection, duality with distributive lattices, coding and dimension theory), the authors then present applications of these structures in fields such as preference modelling and aggregation, operational research and management, cluster and concept analysis, and data mining. Exercises are included at the end of each chapter with helpful hints provided for some of the most difficult examples. The authors also point to further topics of ongoing research.
Ordered sets are ubiquitous in mathematics and have significant applications in computer science, statistics, biology and the social sciences. As the first book to deal exclusively with finite ordered sets, this book will be welcomed by graduate students and researchers in all of these areas. Beg...
Discover more
About the author
Nathalie Caspard is an Assistant Professor in the Laboratoire d'Algorithmique, Complexit et Logique (LACL) at Universit Paris Est.
Bruno Leclerc is an Honorary Member of the Centre d'Analyse et de Mathmatique Sociales of the cole des Hautes tudes en Sciences Sociales (School of High Studies in Social Sciences) in Paris, and of the CNRS.
Bernard Monjardet is Emeritus Professor at the Universit Paris 1 Panthon-Sorbonne.
Nathalie Caspard is an Assistant Professor in the Laboratoire d'Algorithmique, Complexit et Logique (LACL) at Universit Paris Est.
Bruno Leclerc is an Honorary Member of the Centre d'Analyse et de Mathmatique Sociales of the cole des Hautes tudes en Sciences Sociales (School of High Studies in So...
Rate this ebook
Tell us what you think.
Reading information
Smartphones and tablets
Install the Google Play Books app for Android and iPad/iPhone. It syncs automatically with your account and allows you to read online or offline wherever you are.
Laptops and computers
You can listen to audiobooks purchased on Google Play using your computer's web browser.
eReaders and other devices
To read on e-ink devices like Kobo eReaders, you'll need to download a file and transfer it to your device. Follow the detailed Help Center instructions to transfer the files to supported eReaders.
